Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909594849116160 |
|---|---|
| author | Aleshkin, Konstantin Liu, Chiu-Chu Melissa |
| author_facet | Aleshkin, Konstantin Liu, Chiu-Chu Melissa |
| contents | We show that Walcher's disk potential for the quintic threefold can be represented as a central charge of a specific Gauged Linear Sigma Model which we call the extended quintic GLSM. This representation provides an open/closed correspondence for the quintic threefold since the central charge is a generating function of closed genus-zero GLSM invariants. We also explain how open Landau-Ginzburg/Calabi-Yau correspondence and open mirror symmetry for the quintic are compatible with wall-crossing and mirror symmetry of the extended GLSM, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_14628 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds Aleshkin, Konstantin Liu, Chiu-Chu Melissa Algebraic Geometry High Energy Physics - Theory 14N35, 53D45, 14J33 We show that Walcher's disk potential for the quintic threefold can be represented as a central charge of a specific Gauged Linear Sigma Model which we call the extended quintic GLSM. This representation provides an open/closed correspondence for the quintic threefold since the central charge is a generating function of closed genus-zero GLSM invariants. We also explain how open Landau-Ginzburg/Calabi-Yau correspondence and open mirror symmetry for the quintic are compatible with wall-crossing and mirror symmetry of the extended GLSM, respectively. |
| title | Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds |
| topic | Algebraic Geometry High Energy Physics - Theory 14N35, 53D45, 14J33 |
| url | https://arxiv.org/abs/2309.14628 |